224374080 has 224 divisors, whose sum is σ = 823106304. Its totient is φ = 50724864.

The previous prime is 224374037. The next prime is 224374093. The reversal of 224374080 is 80473422.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162464 + ... + 1162656.

Almost surely, 2^224374080 is an apocalyptic number.

224374080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411553152).

224374080 is an abundant number, since it is smaller than the sum of its proper divisors (598732224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224374080 is a wasteful number, since it uses less digits than its factorization.

224374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 224374080 is about 14979.1214695656. The cubic root of 224374080 is about 607.6556799275.

The spelling of 224374080 in words is "two hundred twenty-four million, three hundred seventy-four thousand, eighty".